Abstract
The paper concerns regularity theory for linear elliptic systems with divergence form arising from transmission problems. Estimates in BMO, Dini and Hölder spaces are derived simultaneously and the gaps among of them are filled by using Campanato–John–Nirenberg spaces. Results obtained in the paper are parallel to the classical regularity theory for elliptic systems.
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Supported by the National Natural Science Foundation of China (11071020) and Doctoral Programme Foundation of Institute of Higher Education of China (20100003110003).
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Xiong, J., Bao, J. Sharp Regularity for Elliptic Systems Associated with Transmission Problems. Potential Anal 39, 169–194 (2013). https://doi.org/10.1007/s11118-012-9325-6
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DOI: https://doi.org/10.1007/s11118-012-9325-6